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A194066 Natural fractal sequence of A087483; a rectangular array, by antidiagonals. 2
1, 1, 2, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

See A194029 for definitions of natural fractal sequence and natural interspersion.

LINKS

Table of n, a(n) for n=1..97.

MATHEMATICA

z = 70;

c[k_] := 1 + Floor[(1/3) k^2];

c = Table[c[k], {k, 1, z}]  (* A087483 *)

f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]]

f = Table[f[n], {n, 1, 300}]   (* A194066 *)

r[n_] := Flatten[Position[f, n]]

t[n_, k_] := r[n][[k]]

TableForm[Table[t[n, k], {n, 1, 7}, {k, 1, 7}]]

p = Flatten[Table[t[k, n - k + 1], {n, 1, 14}, {k, 1, n}]] (* A194067 *)

q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 90}]] (* A194068 *)

CROSSREFS

Cf. A194029, A194067, A087483.

Sequence in context: A122197 A030718 A227779 * A308916 A353171 A182628

Adjacent sequences:  A194063 A194064 A194065 * A194067 A194068 A194069

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 14 2011

STATUS

approved

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Last modified June 26 06:36 EDT 2022. Contains 354877 sequences. (Running on oeis4.)